BibTeX
@INCOLLECTION{
Naumann2002ETf,
author = "Uwe Naumann",
title = "Elimination Techniques for Cheap {J}acobians",
pages = "247--253",
chapter = "29",
crossref = "Corliss2002ADo",
booktitle = "Automatic Differentiation of Algorithms: From Simulation to Optimization",
year = "2002",
editor = "G. Corliss and C. Faure and A. Griewank and L. Hasco{\"e}t and U. Naumann",
series = "Computer and Information Science",
publisher = "Springer",
address = "New York, NY",
abstract = "The generation of optimized code for evaluating the Jacobian matrix of a vector
function is known to result in a remarkable speedup of three and more compared to standard methods
of Automatic Differentiation in most cases. So far, this optimization has been built on the
elimination of vertices in the computational graph. We show that vertex elimination in general does
not lead to optimal Jacobian code. We introduce two new elimination methods and demonstrate their
superiority over the vertex elimination approach.",
referred = "[Faure2002MtT], [Klein2002DMf].",
ad_theotech = "General"
}
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